Random Telegraph

stochastic-process · 37 views
stochastic-processintermittent

What It Is

Two-state Markov process with exponential holding times --- binary correlation structure

Interpretation

Standard analysis sees: bounded / light-tailed; high-complexity (noise-like). The atlas finds no named structure, but the source is distinctively extreme on Chladni:domain_ks_exponential (-2.5z) — beyond what the standard bank predicts for it. It sits beside Solar Wind IMF in the atlas (standard-bank rank 32) — a neighbor conventional features miss.

What standard analysis sees
tail heaviness0.04
asymmetry0.23
occupancy0.46
short-range corr0.65
long-range memory0.70
spectral colour0.38
periodicity0.40
complexity0.87
time-irreversibility0.24
volatility clustering0.38
multifractality0.71
dimensionality0.17
nonstationarity0.39
What the atlas adds
Atlas-extreme metrics the standard bank can’t predict for this source
Chladni:domain_ks_exponential-2.5zbank-miss 1.5σ

Composition

dtypefloat64
range[-60.35, 250.4]
unique values16384 / 16384
mean ± std97.8 ± 101

Render Gallery

Atlas Position

Nearest neighborDistance
Network Packet Sizes3.99cross-origin
Intermittent Silence4.43
Solar Wind IMF4.47cross-origin

Open in Atlas →

Which Geometries Light Up

Chladni › Chladni:domain_ks_exponentialrank 305/3060.0432
SL(2,ℝ) (Thurston) › SL(2,ℝ) (Thurston):mean_tracerank 304/306-1.9317
in stochastic-process
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